Analytical Properties of Automorphic L-Series via its Integral Kernel

Explore a 27-minute lecture from the 1st Brazilian Workshop in Analytic Number Theory where Fernando Andrés Herrera Contreras discusses the analytical properties of automorphic L-series through integral kernel analysis. Delivered at IMPA in Rio de Janeiro, this presentation is part of a broader workshop bringing together researchers from across Brazil to foster collaboration and showcase current developments in Number Theory. The workshop features distinguished speakers covering diverse topics from periodic multiplicative functions to partition regularity of squares, reflecting recent advances in both analytic and algebraic aspects of Number Theory, including breakthrough work on prime numbers and sphere packing by Fields medalists.